I think there is some general confusion about the bridging concept used to sum the stereo signal to add the lateral movement and null the vertical and a cartridge that only picks up information in the lateral plane. My take is that if the coils remain oriented at a 45º angle to the record and then wired in series for mono then it is a stereo cartridge wired for mono and it doesn't matter if it if done internally or externally. If however the same parts are used for a mono cartridge and the coil is oriented so there is only pickup in the lateral plane, then it is a mono cartridge. In this case there would be only be windings for pickup in the lateral plane and the windings at 90º to that plane would not be used / wound.
As for the "U" shape discussion I think it leads to a bunch of confusion. I have yet to see a cutting stylus with anything other than a "V" shape with the angle of the v being slightly less than 90º. Whether this cutting edge cuts with information in just the lateral plane (mono) or in both the lateral and vertical plane (stereo) does not matter and the groove cross section will always be a V. The only way a groove with a rounded bottom to resemble a "U" could be done would be with a rounded point cutter and I have never seen anything like that and even if it existed, it would do a very poor job of cutting.
dave
As for the "U" shape discussion I think it leads to a bunch of confusion. I have yet to see a cutting stylus with anything other than a "V" shape with the angle of the v being slightly less than 90º. Whether this cutting edge cuts with information in just the lateral plane (mono) or in both the lateral and vertical plane (stereo) does not matter and the groove cross section will always be a V. The only way a groove with a rounded bottom to resemble a "U" could be done would be with a rounded point cutter and I have never seen anything like that and even if it existed, it would do a very poor job of cutting.
dave